Quantum Invariants : a Study of Knots, 3-Manifolds, and Their Sets.

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This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such as the Jones and Alexander polynomials, are constructed as quantum invariants, i.e. invariants derived from representations of quantum grou...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ohtsuki, Tomotada
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific Publishing Company, 2001.
Colección:K & E series on knots and everything.
Temas:
Quantum field theory.
Knot theory.
Three-manifolds (Topology)
Invariants.
Mathematical physics.
Théorie quantique des champs.
Théorie des nœuds.
Variétés topologiques à 3 dimensions.
Physique mathématique.
Invariants
Knot theory
Mathematical physics
Quantum field theory
Acceso en línea:Texto completo
Descripción
Sumario:This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such as the Jones and Alexander polynomials, are constructed as quantum invariants, i.e. invariants derived from representations of quantum groups and from the monodromy of solutions to the Knizhnik-Zamolodchikov equation. With the introduction of the Kontsevich invariant and the theory of Vassiliev invariants, the quantum invariants become well-organized. Quantum and perturbative invariants, the LMO invariant, and finite type invariants of.
Descripción Física:1 online resource (508 pages)
ISBN:9789812811172
9812811176

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